Drudge, on the other hand, suggested the government had exaggerated the intensity of the hurricane to gin up fear over global warming. To push his narrative, Drudge posted a link to Smith's on-air warning as evidence the media and government were overhyping the storm.

Asked about Drudge's coverage of Hurricane Matthew, Smith suggested he was "a bit embarrassed" for Grim.

"You follow Matt Drudge, for the record," the Fox News host quipped.

Drudge has been the subject of strong criticism this election cycle. In his efforts to promote Donald Trump, the internet titan has often resorted to pushing conspiracy theories to discount the real-estate mogul's opponents.

Smith's comments on Drudge were part of a larger interview about Smith's role at Fox News. The longtime host discussed a variety of issues with The Huffington Post, including the future of the network following the departure of founding CEO Roger Ailes.